Solve for x. x^2 - 14x + 31 = 0

Answers

Answer 1

Answer:

7 + 3 sqrt 2

7 - 3 sqrt 2

Step-by-step explanation:


Related Questions

What is the value of the missing angle



Please pelsd help

Answers

Answer:

Angel U=65

Step-by-step explanation:

115+x=180

x=180-115

x=65

65+50+x=180

x=180-115

x=65

angles: 50, 65,65

this triangle is isosceles

Check:

50+65+65=180

Yea I agree with that guy it makes the most sense lol

The length of a rectangular cement patio is 3 feet less than three times the width. The sum of the length and width of the patio is 21 feet. Find the length of the patio.

Answers

Answer: The length is 15 feet.

Step-by-step explanation:

L = 3w - 3 (length is 3 feet less than three times the width)21 = w + (3w -3)21 = 4w - 3 (add like terms)24 = 4w (substract 3 from both sides)6 = w <-- width

But, the problem is asking for the length...

L = 3w - 3L = 3(6) - 3L = 18 - 3L = 15 ft

Answer the following. a) Find h b) Find x

Answers

Answer:

a) h = 15

b) x = 4

Step-by-step explanation:

a) set up a proportion:

  5 = h

   8     24

cross-multiply:

8h = 120

h = 15

b) x + 5 = x + 5 + 15

   5x + 1    5x + 1 + 35

cross-multiply:

(x + 5)(5x + 36) = (5x + 1)(x + 20)

5[tex]x^{2}[/tex] + 61x + 180 = 5[tex]x^{2}[/tex] + 101x + 20

180 = 40x + 20

160 = 40x

x = 4

please help! algebra 2

Answers

im sure Its the last one

PLEAS HELP I WILL GIVE 10 POINTS
ou are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.

The following payroll deductions were taken from your gross pay:

Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.

You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.

check stub

The amount for SOCIAL SECURITY TAX for this pay period was $

Answers

Answer:

292.32

Step-by-step explanation:

i took 9.75 times 30 and then minus 10% minus 6.2% and minus 1.45% and got that answer

What is the volume of this cylinder?
8cm

20cm

Answers

Answer:160

Step-by-step explanation:

Answer:

there is no picture but if you make another post with the picture, I will more than gladly answer it  :)

Step-by-step explanation:

Jordan made a wooden square box. All sides of the wooden are 6 cm. If he wants to increase the length of all sides by 1.6 cm, what will be the perimeter and area of the new box

Answers

The answer is :
Perimeter : 30.4 cm
Area : 57.76 cm^2
Hope it helped!

Answer:

Perimeter: 30.4 cm

Area:57.76

Step-by-step explanation:

6cm+1.6cm=7.6cm

Perimeter:7.6x4

Area:7.6x7.6


4. An angle is 50° more than its supplement. Find the angles.

Answers

Answer:

The angles measure [tex]65[/tex]° and [tex]115[/tex]°.

Step-by-step explanation:

Supplementary angles are a pair of angles whose measures add up to [tex]180[/tex]°. In this case, we know that one angle is [tex]50[/tex]° bigger than the other one, so if we let the measure of one angle be [tex]x[/tex], then the measure of the other angle will be [tex]x+50[/tex]. Therefore, we can write the following equation to solve for

[tex]x+x+50=180[/tex]

Solving for [tex]x[/tex], we get:

[tex]x+x+50=180[/tex]

[tex]2x+50=180[/tex] (Simplify LHS)

[tex]2x+50-50=180-50[/tex] (Subtract [tex]50[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]2x=130[/tex] (Simplify)

[tex]\frac{2x}{2}=\frac{130}{2}[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=65[/tex]

Therefore, [tex]x+50=65+50=115[/tex], so our final answer is that the angles measure [tex]65[/tex]° and [tex]115[/tex]°. Hope this helps!

WILL MARK YOU BRAINLIEST

Answers

Answer: 4.8

Step-by-step explanation:

direct and inverse variation

Answers

Answer:

4 workers can do the job in 18 days.

Step-by-step explanation:

The number of days d varies inversely as the number of workers.

We can write it as: [tex]d\: \alpha\: \frac{1}{w} \\d=\frac{k}{w}[/tex]

where k is constant of proportionality

We are given: If it takes 9 days for 8 workers to complete the job, then how many workers would it take to do the job in 18 days.

d = 9, w = 8

d = 18, w =?

First we will find value of k when d = 9, w =8

[tex]d=\frac{k}{w}\\9=\frac{k}{8}\\k=9*8\\k=72[/tex]

The value of k, will remain same as it is constant.

We get k = 72.

So, Now we have d = 18, k = 72 and we need to find w

[tex]d=\frac{k}{w}\\18=\frac{72}{w}\\18w=72\\w=\frac{72}{18}\\w=4[/tex]

So, 4 workers can do the job in 18 days.

I need help I’ve been stuck on this problem for an hour help

Answers

Answer:

-14

if you are happy with my answer, please give brainliest :)

Step-by-step explanation:

-12+(-2)=-14

Answer: -14

Step-by-step explanation:

I know the answer but i dont know if it is supposd to be an equation

6 times 2+  (-8 divided by 4

       12                 -2

            12+-2

            -14

so what you put in the box will be the expression i just did

Pemdas

Parentheses

Exponents

Multiply

Divide

Add

Subract

what does y equal?......​

Answers

Answer:

37

Step-by-step explanation:

Please help me, 30 points, really easy.

Find the missing dimension. Use the scale factor 1 : 12.

Answers

Answer:

15in

Step-by-step explanation:

Convert the 15 ft to inches (180) and then set up the proportion.\frac{1}{12} = \frac{x}{180}121=180x .  Cross multiply to get that 12x = 180 and x = 15 inches.

I think it’s 15 sorry if I get it wrong

On the youth soccer team 3 out of 12 team members have played in previous years. Based on this information , if 180 kids are in the youth soccer league , then how many could be expected to have played the year before

Answers

Answer:

its 3/12 ×180 which is 1/4 of 180 as similar which is = 45. So we find out that 45 members where involved last year in youth soccer league.

2/3 + 9/12 add fractions with unlike denominators

Answers

Answer:

[tex]1\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} + \frac{9}{12}[/tex]   <-- let's change 2/3 into a fraction that has 12 as the denominator

[tex]\frac{2}{3}[/tex] × 4   <-- multiply both the numerator and the denominator by 4

2 × 4 = 8   <-- new numerator

3 × 4 = 12   <-- new denominator

now we have [tex]\frac{8}{12}[/tex] + [tex]\frac{9}{12}[/tex]

[tex]\frac{8}{12}[/tex] + [tex]\frac{9}{12}[/tex] = [tex]\frac{17}{12}[/tex]    <-- let's change it into a mixed number

17 ÷ 12 = [tex]1\frac{5}{12}[/tex]

Answer: its 17/12

Step-by-step explanation:

In a juggling competition, 7/ 20 of all the jugglers use balls only, 3/ 7 of all the jugglers use rings only, and the rest of jugglers use both balls and rings. If there are less than 200 jugglers in the competition, how many jugglers use both balls and rings?

Answers

Answer:

44

Step-by-step explanation:

Number who use balls only = 7 / 20

Number who use rings only = 3/7

Fraction who use both :

1 - (7/20 + 3/7)

1 - 0.7785714

= 0.2214285

If number of jugglers is less than 200

Number of jugglers who use both :

0.2214285 * 200

= 44.285714

Number of jugglers who use both should be about 44

Need help asap Pleaseee

Answers

Answer:

the answer is 144 feet and I don't really have an explanation

Answer:

Radius = 12 feet

Step-by-step explanation:

The area of a circle formula is Area = pi r^2 ("r" represents the radius)

The area of Circle Q is 144pi

You can substitute "Area" with 144pi, which would look like this:

144pi = pi x r^2

Now divide both sides with "pi", which gives:

144 = r^2

Finally, square root both sides:

sqrt(144) = sqrt(r^2)                     (sqrt = square root)

And that gives

12 = r

So the radius is 12 feet.

A shipping box has the dimensions shown 1/4 1/4 and 1/2, What is the volume of the box in cubic yards.

First 3 people get a brainly

Answers

Step-by-step explanation:

what is the unit of measurement for the 1/4, 1/4, and 1/2?

Alyssa has $75 less than three times Eric. Together they have $905. How much money do they each have?

Answers

Answer:

Alyssa=225

Eric=680

Step-by-step explanation:

The money Alyssa has $660 and  Eric has $245.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Alyssa has $75 less than three times Eric.

Let $x be the money Eric had.

Then Alyssa has 3x-75

Together they have $905.

So, x+3x-75=905

4x=905+75

4x=980

x=980/4

x=$245

Money Alyssa has 3x-75

= 3×245-75

= 735-75

= $660

Therefore, money Alyssa has $660 and  Eric has $245.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Help and explain please?

Answers

Square root of 160.

Use Pythagorean’s Theorem.
a^2+b^2=c^2
(12)^2+(4)^2=c^2
144+16=c^2
160=c^2
C=square root of 160

Pls help due ASAP....
Pls show workings.

Answers

Answer:

We can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:

d = 8.06 miles

Step-by-step explanation:

From the coordinate plane, we can clearly identify that:

Sandy's Hotel is located at the point (-8, 9)Trader Joes' Store is located at the point (-4, 2)

The distance from Sandy's Hotel to Trader Joes' Store can be calculated such as:

[tex]d=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

The distance between (-8, 9) and (-4, 2)

[tex]d=\sqrt{\left(-4-\left(-8\right)\right)^2+\left(2-9\right)^2}[/tex]

  [tex]=\sqrt{\left(-4+8\right)^2+\left(2-9\right)^2}[/tex]

  [tex]=\sqrt{4^2+7^2}[/tex]  

   [tex]=\sqrt{16+49}[/tex]

    [tex]=\sqrt{65}[/tex]

    [tex]=8.06[/tex] miles

Therefore, we can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:

d = 8.06 miles

The tallest man in the world is about 101 inches tall. The shortest man in the world is about 29 inches tall. How much taller is the tallest man than the shortest man?

Answers

Answer:The tallest man is 72 inches taller than the shortest man.

Step-by-step explanation:

Subtraction:

101in-29in=72inches

Answer:

72 inches taller

Step-by-step explanation:

29in+x=101x=101-29x=72

State if the two triangles are congruent. If so, state how you know.

Answers

Answer: They are congruent, because the angle representers are equal on both triangles

Step-by-step explanation:

February 29th is on Sunday. on what day will the next February 29th be?​

Answers

Answer: Friday

Step-by-step explanation:

If February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday.

First and foremost, we should realise that February has 28 days but in leap years which takes place every 4 years, it has 29 days.

We should realise that the dates in the calendar are arranged in such a way that if a particular date falls on a particular day this year, the date will fall on the next day next year. e.g. since January 20 falls on. Wednesday this year, it will fall on a Thursday next year.

Since February 29 is a date for a leap year, following the above explanation, if February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday which is in the next four years.

6 and 6x are like terms
true or false

Answers

Answer:

False

Step-by-step explanation:

Like terms have the same variable and are raised to the same exponent, and 6x has a variable of x while 6 has none at all, so they are not like terms.

Sheila was given $20.00 for her birthday and spent $14.79 on a CD. How much was her change?
A. $5.21
B. $6.31
C. $16.31
D. $34.79

Answers

Answer:

the answer would be A because when u subtract it the answer is $5.21

Four out of six dogs weigh less than 50 pounds. What is the decimal equivalent for the number of dogs weighing under 50 pounds?

Answers

Answer:

0.667

Step-by-step explanation:

A landscaper needs to fill a path measuring 2 feet by 6 feet with patio stones.
The patio stones are ench 1 foot by 2 feet, so the landscaper calculates that she
will need 6 of them,
Before arranging the patio stones, the landscaper wants to look at all of her
options. She cannot cut or overlap the stones, and they all must fit inside the
path area without any gaps. Two possible arrangements of the stones are shown
below. How many different arrangements are there in total?

Answers

Answer:

28

Step-by-step explanation:

You can have 8 1x2 verical in a row,

7 with two horizontals stacked on top of each other.

9 with 4 horizontal tiles,

10 with 6 horizontal tiles,

1 8 horizontal tiles set,

1+7+1+9+10=28

9 mugs for $45

What is the rate?

And what is the unit rate?

Answers

Answer:  The unit rate is $5 per  mug.

Step-by-step explanation:

To find the the unit rate, you will find the amount  one mug will cost.

If there are 9 mugs  then to get it to one, you will have to divide 9 by 9, and the same way you will have to divide 45 by 9.

45 / 9 = 5  

PLEASE PLEASE HELP ME I WILL MARK BRAINLIEST

Answers

Answer:

a) x = 2   b) y = 5

Step-by-step explanation:

For a)

NOTE: Since line EC bisects angle FEG, it will be divided into 2 equal parts

angle FEG = 58

angle FEC = 11x + 7

angle CEG = 11x + 7

So:

58 = (11x + 7) + (11x + 7)

58 - 7 - 7 = 11x + 11x

44 = 22x

x = 2

For b)

angle AED = 16y + 10

angle AED = 90°

90 = 16y + 10

90-10 = 16y

y = 80/16

y = 5

Dbhehejehbejrjeenbebeje
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